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Simplifying 5x + -1(4x + 7) = 2x + -43 Reorder the terms: 5x + -1(7 + 4x) = 2x + -43 5x + (7 * -1 + 4x * -1) = 2x + -43 5x + (-7 + -4x) = 2x + -43 Reorder the terms: -7 + 5x + -4x = 2x + -43 Combine like terms: 5x + -4x = 1x -7 + 1x = 2x + -43 Reorder the terms: -7 + 1x = -43 + 2x Solving -7 + 1x = -43 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 1x + -2x = -43 + 2x + -2x Combine like terms: 1x + -2x = -1x -7 + -1x = -43 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -1x = -43 + 0 -7 + -1x = -43 Add '7' to each side of the equation. -7 + 7 + -1x = -43 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -43 + 7 -1x = -43 + 7 Combine like terms: -43 + 7 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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